{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "from utils import Linear, Sigmoid, Sequential\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "torch.manual_seed(12046)\n",
    "# 为了讨论的方便，我们将神经网络扩大\n",
    "n_hidden = 100\n",
    "model = Sequential([\n",
    "    Linear(2, n_hidden), Sigmoid(),\n",
    "    Linear(n_hidden, n_hidden), Sigmoid(),\n",
    "    Linear(n_hidden, n_hidden), Sigmoid(),\n",
    "    Linear(n_hidden, n_hidden), Sigmoid(),\n",
    "    Linear(n_hidden, 2)\n",
    "    ])\n",
    "\n",
    "# 对于模型参数，需要记录它们的梯度（为反向传播做准备）\n",
    "for p in model.parameters():\n",
    "    p.requires_grad = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import numpy as np\n",
    "\n",
    "# 生成训练数据并对数据做归一化处理\n",
    "np.random.seed(12046)\n",
    "data = make_moons(n_samples=2000, noise=.05)\n",
    "scaler = StandardScaler()\n",
    "data = (scaler.fit_transform(data[0]), data[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(max_steps):\n",
    "    batch_size = 2000\n",
    "    lossi = []\n",
    "    # 记录各层的参数更新幅度\n",
    "    udi = {}\n",
    "    x, y = torch.tensor(data[0]).float(), torch.tensor(data[1])\n",
    "    _prob = torch.ones(x.shape[0]) / x.shape[0]\n",
    "\n",
    "    for i in range(max_steps):\n",
    "        # 构造批次训练数据\n",
    "        ## 不放回的随机抽样\n",
    "        ix = _prob.multinomial(batch_size)\n",
    "        xb = x[ix]\n",
    "        yb = y[ix]\n",
    "        # 向前传播\n",
    "        logits = model(xb)\n",
    "        loss = F.cross_entropy(logits, yb)\n",
    "        # 保留中间节点的梯度，以便观察\n",
    "        for layer in model.layers:\n",
    "            layer.out.retain_grad()\n",
    "        for p in model.parameters():\n",
    "            p.grad = None\n",
    "        # 反向传播\n",
    "        loss.backward()\n",
    "        # 更新模型参数\n",
    "        ## 学习速率衰减\n",
    "        learning_rate = 0.1 if i < 20000 else 0.01\n",
    "        with torch.no_grad():\n",
    "            for i, p in enumerate(model.parameters()):\n",
    "                p -= learning_rate * p.grad\n",
    "                udi[i] = udi.get(i, []) + [(learning_rate * p.grad).std() / p.std()]\n",
    "        lossi.append(loss.item())\n",
    "    return lossi, udi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([4.158403396606445],\n",
       " {0: [tensor(0.0171)],\n",
       "  1: [tensor(0.0194)],\n",
       "  2: [tensor(0.0064)],\n",
       "  3: [tensor(0.0122)],\n",
       "  4: [tensor(0.0059)],\n",
       "  5: [tensor(0.0091)],\n",
       "  6: [tensor(0.0063)],\n",
       "  7: [tensor(0.0088)],\n",
       "  8: [tensor(0.0306)],\n",
       "  9: [tensor(0.5987)]})"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 初始化时模型损失和各层的参数更新幅度\n",
    "train_model(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察激活函数的状态\n",
    "plt.figure(figsize=(10, 6), dpi=80)\n",
    "# 解决中文显示的问题\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.rcParams.update({'font.size': 13})\n",
    "legends = []\n",
    "for i, layer in enumerate(model.layers):\n",
    "    if isinstance(layer, (Sigmoid)):\n",
    "        t = layer.out\n",
    "        # 激活函数的输出大于0.99或者小于0.01时，激活函数“过热”\n",
    "        saturation = ((t - 0.5).abs() > 0.49).float().mean()\n",
    "        # 激活函数输出的分布情况\n",
    "        hy, hx = torch.histogram(t, density=True)\n",
    "        plt.plot(hx[:-1].detach(), hy.detach())\n",
    "        layer_name = f'layer {i} ({layer.__class__.__name__})'\n",
    "        stats = f'mean {t.mean():+.2f}, std {t.std():.2f}, saturated {saturation:.2%}'\n",
    "        legends.append(f'{layer_name}: {stats}')\n",
    "plt.legend(legends, shadow=True)\n",
    "plt.title('激活函数输出分布情况', fontsize=18)\n",
    "plt.savefig('activation_distribution.png', dpi=200)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察激活函数的状态\n",
    "plt.figure(figsize=(10, 6), dpi=80)\n",
    "# 解决中文显示的问题\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.rcParams.update({'font.size': 13})\n",
    "legends = []\n",
    "for i, layer in enumerate(model.layers):\n",
    "    if isinstance(layer, (Linear)):\n",
    "        t = layer.out.grad\n",
    "        hy, hx = torch.histogram(t, density=True)\n",
    "        plt.plot(hx[:-1].detach(), hy.detach())\n",
    "        layer_name = f'layer {i} ({layer.__class__.__name__})'\n",
    "        stats = f'mean {t.mean():+.2f}, std {t.std():.2f}'\n",
    "        legends.append(f'{layer_name}: {stats}')\n",
    "plt.legend(legends, shadow=True)\n",
    "plt.title('线性输出的梯度分布情况', fontsize=18)\n",
    "plt.savefig('linear_grad_distribution.png', dpi=200)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0   (2, 100): mean -0.0006, std 0.1712, grad ratio 0.17112263\n",
      "layer 2 (100, 100): mean -0.0002, std 0.0648, grad ratio 0.06404040\n",
      "layer 4 (100, 100): mean -0.0002, std 0.0597, grad ratio 0.05931355\n",
      "layer 6 (100, 100): mean +0.0017, std 0.0631, grad ratio 0.06336858\n",
      "layer 8   (100, 2): mean +0.0000, std 0.3122, grad ratio 0.30641049\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察参数梯度的分布情况\n",
    "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
    "ax = fig.add_subplot(111)\n",
    "legends = []\n",
    "for i, layer in enumerate(model.layers):\n",
    "    if isinstance(layer, (Linear)):\n",
    "        # 只观察权重参数，也就是w\n",
    "        p = layer.parameters()[0]\n",
    "        g = p.grad\n",
    "        # 梯度标准差与参数标准差的比例\n",
    "        grad_ratio = g.std() / p.std()\n",
    "        hy, hx = torch.histogram(g, density=True)\n",
    "        ax.plot(hx[:-1].detach(), hy.detach())\n",
    "        layer_name = f'layer {i} {str(tuple(p.shape)):>10}'\n",
    "        stats = f'mean {g.mean():+.4f}, std {g.std():.4f}, grad ratio {grad_ratio:.8f}'\n",
    "        legends.append(f'{layer_name}')\n",
    "        print(f'{layer_name}: {stats}')\n",
    "ax.legend(legends, shadow=True)\n",
    "ax.set_title('权重参数的梯度分布情况', fontsize=18)\n",
    "fig.savefig('weight_grad_distribution.png', dpi=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.set_xlim([-0.05, 0.05])\n",
    "fig.savefig('weight_grad_distribution_zoom.png', dpi=200)\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, ud = train_model(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6), dpi=80)\n",
    "legends = []\n",
    "for i, p in enumerate(model.parameters()):\n",
    "    # 只观察权重参数，也就是w\n",
    "    if p.ndim == 2:\n",
    "        plt.plot([t.log10().item() for t in ud[i]])\n",
    "        legends.append(f'layer {i} {str(tuple(p.shape)):>10}')\n",
    "# 理想的标准线\n",
    "plt.plot([0, len(ud[0])], [-3, -3], 'k--')\n",
    "plt.legend(legends, shadow=True)\n",
    "plt.savefig('weights_grad_ratio.png', dpi=200)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
